SSC (English Medium) 9th Standard - Maharashtra State Board Question Bank Solutions

In the given figure, measures of some angles are given. Using the measures find the values of x, y, z. 

In the given figure, line AB || line DE. Find the measures of ∠DRE and ∠ARE using given measures of some angles. 

In Δ ABC, bisectors of ∠A and ∠B intersect at point O. If ∠C = 70°. Find the measure of ∠AOB. 

In the given Figure, line AB || line CD and line PQ is the transversal. Ray PT and ray QT are bisectors of ∠BPQ and ∠PQD respectively. Prove that m∠PTQ = 90°.

Using the information shown in figure, find the measures of ∠a, ∠b and ∠c.

In the given figure, line DE || line GF, ray EG and ray FG are bisectors of ∠DEF and ∠DFM respectively. Prove that, 

1. ∠DEG = `1/2∠"EDF"`
2. EF = FG

In right angled ΔTSU, TS = 5, ∠S = 90°, SU = 12 then find sin T, cos T, tan T. Similarly find sin U, cos U, tan U.

In right angled ΔYXZ, ∠X = 90°, XZ = 8 cm, YZ = 17 cm, find sin Y, cos Y, tan Y, sin Z, cos Z, tan Z.

In right angled ΔLMN, if ∠N =θ, ∠M = 90, cos θ =`24/25`, find sin θ and tan θ Similarly, find (sin² θ) and (cos² θ).

Volume of a cuboid is 34.50 cubic metre. Breadth and height of the cuboid is 1.5m and 1.15m respectively. Find its length.

To make an open fish tank, a glass sheet of 2 mm gauge is used. The outer length, breadth and height of the tank are 60.4 cm, 40.4 cm and 40.2 cm respectively. How much maximum volume of water will be contained in it?

Construct ΔPQR, in which QR = 4.2 cm m∠Q = 40° and PQ + PR = 8.5 cm

Construct ΔXYZ, in which YZ = 6 cm, XY + XZ = 9 cm. ∠XYZ = 50°.

Construct ΔABC, in which BC = 6.2 cm, ∠ACB= 50°, AB + AC = 9.8 cm.

Construct ΔABC, in which BC = 3.2 cm, ∠ACB = 45° and perimeter of ΔABC is 10 cm.

Construct ΔXYZ, such that XY + XZ = 10.3 cm, YZ = 4.9 cm, ∠XYZ = 45°.

Diagonals of a parallelogram intersect each other at point O. If AO = 5, BO = 12 and AB = 13 then show that `square`ABCD is a rhombus. 

In a rhombus PQRS if PQ = 7.5 cm then find QR. If ∠QPS = 75° then find the measure of ∠PQR and ∠SRQ.

Diagonals of a rhombus are 20 cm and 21 cm respectively, then find the side of rhombus and its perimeter.

State with reason whether the following statement is ‘true’ or ‘false’.

Every parallelogram is a rhombus.